For number 4, we'll need a few facts to answer our question:
- Two supplementary angles add up to 180°, forming a straight angle (the angle formed by a straight line)
- The interior angles of a triangle add up to 180°
Given those, we notice that the one unlabeled angle in the figure shares a line with 156°. In fact, this angle is <em>supplementary</em> to 156°, which means that the two add up to 180°. To find the measure of this mystery angle, we can subtract 156 from 180 to obtain 180 - 156 = 24°.
Now, let's look at the triangle. We already know the measure of one of the angles is 24°, and the other two are x°. What else do we know about the angles of a triangle? From the two facts listed at the beginning, we know their interior angles add up to 180°, so let's use that fact to solve for x.
We have:

, or

Solving for x:

So, x = 78°.
For question 5, the <em>definition</em> of a pair of parallel lines is a pair of lines which <em>never intersect</em>, so "always" would be the appropriate answer.
Answer:
2
Step-by-step explanation:
w + 1/2 ➡ (2w + 1)/2
w/4 + 2➡ (w + 8)/4
(2w + 1)/2 = (w + 8)/4
8w + 4 = 2w + 16 ➡ 6w = 12
w = 2
Step-by-step explanation:
im not going to go in to detail but the answer is c
7th person that walked in would be 66 years old
Answer:
15 games
Step-by-step explanation:
12X3=36 5X3=15